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Cubes

How many faces can you see when you arrange these three cubes in different ways?

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Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

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Bracelets

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Route Product

Age 7 to 11 Challenge Level:

Can you see immediately which routes might have large products and which ones small products?
How will you know that you have checked all the routes?
How many routes can you find which use the $5$? What is the product of each one?
How many routes use the $3$? And the $4$?